Group decisions I. In arbitrary spaces of fuzzy binary relations |
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Authors: | V.B Kuz min,S.V Ovchinnikov |
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Affiliation: | USSR Academy of Sciences, Moscow, USSR |
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Abstract: | This article solves the problem of finding a set of group decisions that satisfy the classical Pareto unanimity principle for the case of initial data represented as fuzzy relations of individual preference. The solution proceeds from results obtained in studying the structure of convex (in the sense defined here) sets and their convex hulls. In the first part that study is carried out for spaces of arbitrary fuzzy binary relations. |
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Keywords: | Fuzzy order relation Space Group decision Pareto unanimity Convex hull Kernel of hull |
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